Research Papers

Vibration Reduction of Mistuned Bladed Disks Via Piezoelectric-Based Resonance Frequency Detuning

[+] Author and Article Information
Garrett K. Lopp

Structural Dynamics and
Adaptive Structures Lab,
Department of Mechanical and
Aerospace Engineering,
University of Central Florida,
Orlando, FL 32816
e-mail: GLopp8590@knights.ucf.edu

Jeffrey L. Kauffman

Structural Dynamics and
Adaptive Structures Lab,
Department of Mechanical and
Aerospace Engineering,
University of Central Florida,
Orlando, FL 32816
e-mail: JLKauffman@ucf.edu

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received July 5, 2017; final manuscript received February 26, 2018; published online April 18, 2018. Editor: I. Y. (Steve) Shen.

J. Vib. Acoust 140(5), 051007 (Apr 18, 2018) (8 pages) Paper No: VIB-17-1300; doi: 10.1115/1.4039540 History: Received July 05, 2017; Revised February 26, 2018

This paper extends the resonance frequency detuning (RFD) vibration reduction approach to cases of turbomachinery blade mistuning. Using a lumped parameter mistuned blade model with included piezoelectric elements, this paper presents an analytical solution of the blade vibration in response to frequency sweep excitation; direct numerical integration confirms the accuracy of this solution. A Monte Carlo statistical analysis provides insight regarding vibration reduction performance over a range of parameters of interest such as the degree of blade mistuning, linear excitation sweep rate, inherent damping ratio, and the difference between the open-circuit (OC) and short-circuit (SC) stiffness states. RFD reduces vibration across all degrees of blade mistuning as well as the entire range of sweep rates tested. Detuning also maximizes vibration reduction performance when applied to systems with low inherent damping and large electromechanical coupling.

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Wagner, J. , 1967, “ Coupling of Turbomachine Blade Vibrations Through the Rotor,” ASME J. Eng. Power, 89(4), pp. 502–512. [CrossRef]
Whitehead, D. , 1966, “ Effect of Mistuning on the Vibration of Turbo-Machine Blades Induced by Wakes,” J. Mech. Eng. Sci., 8(1), pp. 15–21. [CrossRef]
Hodges, C. , 1982, “ Confinement of Vibration by Structural Irregularity,” J. Sound Vib., 82(3), pp. 411–424. [CrossRef]
Castanier, M. P. , and Pierre, C. , 2006, “ Modeling and Analysis of Mistuned Bladed Disk Vibration: Status and Emerging Directions,” J. Propul. Power, 22(2), pp. 384–396. [CrossRef]
El-Aini, Y. , deLaneuville, R. , Stoner, A. , and Capece, V. , 1997, “ High Cycle Fatigue of Turbomachinery Components—Industry Perspective,” AIAA Paper No. 97-3365.
Castanier, M. P. , and Pierre, C. , 2002, “ Using Intentional Mistuning in the Design of Turbomachinery Rotors,” AIAA J., 40(10), pp. 2077–2086. [CrossRef]
Hou, J. , and Cross, C. , 2005, “ Minimizing Blade Dynamic Response in a Bladed Disk Through Design Optimization,” AIAA J., 43(2), pp. 406–412. [CrossRef]
Kauffman, J. L. , and Lesieutre, G. A. , 2012, “ Piezoelectric-Based Vibration Reduction of Turbomachinery Bladed Disks Via Resonance Frequency Detuning,” AIAA J., 50(5), pp. 1137–1144. [CrossRef]
Lopp, G. K. , and Kauffman, J. L. , 2015, “ Switch Triggers for Optimal Vibration Reduction Via Resonance Frequency Detuning,” ASME J. Vib. Acoust., 138(1), p. 011002. [CrossRef]
Lopp, G. K. , and Kauffman, J. L. , 2017, “ Resonance Frequency Detuning in Regions of High Modal Density,” AIAA Paper No. 2017-1439.
Forward, R. L. , 1979, “ Electronic Damping of Vibrations in Optical Structures,” Appl. Opt., 18(5), pp. 690–697. [CrossRef] [PubMed]
Hagood, N. W. , and von Flotow, A. , 1991, “ Damping of Structural Vibrations With Piezoelectric Materials and Passive Electrical Networks,” J. Sound Vib., 146(2), pp. 243–268. [CrossRef]
Yu, H. , and Wang, K. W. , 2007, “ Piezoelectric Networks for Vibration Suppression of Mistuned Bladed Disks,” ASME J. Vib. Acoust., 129(5), pp. 559–566. [CrossRef]
Yu, H. , and Wang, K. W. , 2009, “ Vibration Suppression of Mistuned Coupled-Blade-Disk Systems Using Piezoelectric Circuitry Network,” ASME J. Vib. Acoust., 131(2), p. 021008. [CrossRef]
Mokrani, B. , Bastaits, R. , Horodinca, M. , Romanescu, I. , Burda, I. , Viguié, R. , and Preumont, A. , 2015, “ Parallel Piezoelectric Shunt Damping of Rotationally Periodic Structures,” Adv. Mater. Sci. Eng., 2015, p. 162782. [CrossRef]
Zhou, B. , Thouverez, F. , and Lenoir, D. , 2014, “ Vibration Reduction of Mistuned Bladed Disks by Passive Piezoelectric Shunt Damping Techniques,” AIAA J., 52(6), pp. 1194–1206. [CrossRef]
Beck, J. A. , Brown, J. M. , Runyon, B. , and Scott-Emuakpor, O. E. , 2017, “ Probabilistic Study of Integrally Bladed Rotor Blends Using Geometric Mistuning Models,” AIAA Paper No. 2017-0860.
Wu, S.-Y. , 1998, “ Method for Multiple-Mode Shunt Damping of Structural Vibration Using a Single PZT Transducer,” Proc. SPIE, 3327, pp. 159–168.
Behrens, S. , and Moheimani, S. O. R. , 2002, “ Current Flowing Multiple-Mode Piezoelectric Shunt Dampener,” Proc. SPIE, 4697, pp. 217–226.
Fleming, A. , Behrens, S. , and Moheimani, S. , 2000, “ Synthetic Impedance for Implementation of Piezoelectric Shunt-Damping Circuits,” Electron. Lett., 36(18), pp. 1525–1526. [CrossRef]
Thomas, O. , Ducarne, J. , and Deu, J.-F. , 2012, “ Performance of Piezoelectric Shunts for Vibration Reduction,” Smart Mater. Struct., 21(1), p. 015008. [CrossRef]
Clark, W. W. , 2000, “ Vibration Control With State-Switched Piezoelectric Materials,” J. Intell. Mater. Syst. Struct., 11(4), pp. 263–271. [CrossRef]
Richard, C. , Guyomar, D. , Audigier, D. , and Ching, G. , 1999, “ Semi-Passive Damping Using Continuous Switching of a Piezoelectric Device,” Proc. SPIE, 3672, pp. 104–111.
Richard, C. , Guyomar, D. , Audigier, D. , and Bassaler, H. , 2000, “ Enhanced Semi-Passive Damping Using Continuous Switching of a Piezoelectric Device on an Inductor,” Proc. SPIE, 3989, pp. 288–299.
Larson, G. D. , Rogers, P. H. , and Munk, W. , 1998, “ State Switched Transducers: A New Approach to High-Power, Lower-Frequency, Underwater Projectors,” J. Acoust. Soc. Am., 103(1428), pp. 1428–1441. [CrossRef]
Lopp, G. K. , and Kauffman, J. L. , 2015, “ Optimal Resonance Frequency Detuning Switch Trigger Determination Using Measurable Response Characteristics,” AIAA Paper No. 2015-1258.
Zhang, S. , Xia, R. , Lebrun, L. , Anderson, D. , and Shrout, T. R. , 2005, “ Piezoelectric Materials for High Power, High Temperature Applications,” Mater. Lett., 59(27), pp. 3471–3475. [CrossRef]
Pulliam, W. J. , Lee, D. , Carman, G. P. , and McKnight, G. P. , 2003, “ Thin-Layer Magnetostrictive Composite Films for Turbomachinery Fan Blade Damping,” Proc. SPIE, 5054, pp. 360–371.
Lin, Y. , and Sodano, H. A. , 2009, “ Fabrication and Electromechanical Characterization of a Piezoelectric Structural Fiber for Multifunctional Composites,” Adv. Funct. Mater., 19(4), pp. 592–598. [CrossRef]
Amoo, L. M. , 2013, “ On the Design and Structural Analysis of Jet Engine Fan Blade Structures,” Prog. Aerosp. Sci., 60, pp. 1–11. [CrossRef]
Markert, R. , and Seidler, M. , 2001, “ Analytically Based Estimation of the Maximum Amplitude During Passage Through Resonance,” Int. J. Solids Struct., 38(10–13), pp. 1975–1992. [CrossRef]


Grahic Jump Location
Fig. 1

Lumped parameter blade mistuning model

Grahic Jump Location
Fig. 2

Analytical and numerical response comparison for the first four blades from a specific mistuning pattern with σδ = 0.03 and engine order C = 3 excitation

Grahic Jump Location
Fig. 3

Determination of the optimal switch trigger from a system with a specific mistuning pattern with σδ = 0.03 and engine order C = 3 excitation: (a) Normalized maximum peak response of the entire set of blades as a function of the switch trigger, (b) normalized peak magnitudes for each blade, and (c) normalized RMS response magnitudes for the entire set of N = 13 blades taken at each time instant

Grahic Jump Location
Fig. 4

Effect of varying the degree of blade mistuning on the 99th percentile amplification factor

Grahic Jump Location
Fig. 5

Effect of various design parameters on the 99th percentile amplification factor: (a) effect of varying the sweep rate, (b) effect of varying damping, and (c) effect of varying the difference in stiffness states



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